A novel data interpretation method is presented which is derived from weigh
ted least squares analysis. Given the steep dependence of the Rayleigh fact
or on concentration, a Zimm-plot based regression of weight average molar m
ass and the RMS radius of gyration is strongly influenced by data over an o
ptimum concentration range, which can be quite narrow for some polymer-solv
ent combinations. The "one-concentration method" exploits this sensibility
to improve the precision in molar mass and radius of gyration measurements
to +/-4%. The theoretical prediction of the optimum concentration is includ
ed. The one-concentration method is applied to polymers in organic solvents
as well as to water-soluble polyelectrolytes.